The Isomorphism of Minkowski Space and the Separable Complex Hilbert Space and Its Physical Interpretation

EasyChair Preprint 3464

Abstract

An isomorphism is built between the separable complex Hilbert space (quantum mechanics) and Minkowski space (special relativity) by meditation of quantum information (i.e. qubit by qubit). That isomorphism can be interpreted physically as the invariance between a reference frame within a system and its unambiguous counterpart out of the system. The same idea can be applied to Poincaré’s conjecture (proved by G. Perelman) hinting another way for proving it, more concise and meaningful physically. Mathematically, the isomorphism means the invariance to choice, the axiom of choice, well-ordering, and well-ordering “theorem” (or “principle”) and can be defined generally as “information invariance”.

Keyphrases: Hilbert space, Minkowski space, Poincaré’s conjecture, axiom of choice, choice, quantum information, qubit, well-ordering

@booklet{EasyChair:3464,
  author    = {Vasil Penchev},
  title     = {The Isomorphism of Minkowski Space and the Separable Complex Hilbert Space and Its Physical Interpretation},
  howpublished = {EasyChair Preprint 3464},
  year      = {EasyChair, 2020}}